in a 5km race mohan wins by 500m over sohan, while sohan can give a start of 200mts to chotan in a ikm race. in a 5km race how much start (in mts.) can mohan give chotan, so that both reach the destination simultaneously?
Answers
Given : in a 5km race mohan wins by 500m over sohan, while sohan can give a start of 200mts to chotan in a 1 km race
To find : in a 5km race how much start (in mts.) can mohan give chotan, so that both reach the destination simultaneously
Solution:
in a 5km race mohan wins by 500m over sohan
500 m = 0.5 km
Mohan completes 5 km then sohan completes = 5 - 0.5 = 4.5 km
=> Mohan completes 1 km then sohan completes = 4.5/5 = 0.9 km
Sohan give a start of 200 m to chotan
Sohan completes 1 km then chotan completes = 1 -0.2 = 0.8 km
Sohan completes 0.9 km then chotan completes = 0.9 * 0.8= 0.72 km
Mohan completes 1 km then sohan completes = 0.9 km
Sohan completes 0.9 km then chotan completes =0.72 km
=> Mohan completes 1 km then chotan completes =0.72 km
=> Mohan completes 5 km then chotan completes =5 * 0.72 = 3.6 km
mohan give chotan a start of 5 - 3.6 = 1.4 km = 1400 m
in a 5km race 1400 m start mohan can give chotan, so that both reach the destination simultaneously
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